-(4-2x),\; 3x>-11,x>-\frac{11}{3}\\\\b)\; 5x+7<4-2x,\; 7x<-3,\; x<-\frac{3}{7}\\\\Otvet:\; x\in (-\frac{11}{3};-\frac{3}{7}).\\\\2)\; \; \sqrt{3x+1}<4-2x,\; \; OOF:\; 3x+1 \geq 0,\; x \geq -\frac{1}{3}" alt="1)\; \; |5x+7|<4-2x\\\\a)5x+7>-(4-2x),\; 3x>-11,x>-\frac{11}{3}\\\\b)\; 5x+7<4-2x,\; 7x<-3,\; x<-\frac{3}{7}\\\\Otvet:\; x\in (-\frac{11}{3};-\frac{3}{7}).\\\\2)\; \; \sqrt{3x+1}<4-2x,\; \; OOF:\; 3x+1 \geq 0,\; x \geq -\frac{1}{3}" align="absmiddle" class="latex-formula">\;>
0,\; \; D=121,\; x_1=1,\; x_2=3,75\\\\x\in (-\frac{1}{3};1)U(3,75\; ;+\infty)" alt="3x+1<16-16x+4x^2\\\\4x^2-19x+15>0,\; \; D=121,\; x_1=1,\; x_2=3,75\\\\x\in (-\frac{1}{3};1)U(3,75\; ;+\infty)" align="absmiddle" class="latex-formula">\;>
![3)\; \sqrt{7-3x} \geq x-1,\; \; OOF:\; 7-3x \geq 0,\; x \leq \frac{7}{3}\\\\7-3x \geq x^2-2x+1\\\\x^2+x-6 \leq 0,\; \; \; x_1 \leq 2,\; x_2=-3\; (teor.\, Vieta)\\\\x\in [-3;2]](https://tex.z-dn.net/?f=3%29%5C%3B+%5Csqrt%7B7-3x%7D+%5Cgeq+x-1%2C%5C%3B+%5C%3B+OOF%3A%5C%3B+7-3x+%5Cgeq+0%2C%5C%3B+x++%5Cleq+%5Cfrac%7B7%7D%7B3%7D%5C%5C%5C%5C7-3x+%5Cgeq+x%5E2-2x%2B1%5C%5C%5C%5Cx%5E2%2Bx-6+%5Cleq+0%2C%5C%3B+%5C%3B+%5C%3B+x_1+%5Cleq+2%2C%5C%3B+x_2%3D-3%5C%3B+%28teor.%5C%2C+Vieta%29%5C%5C%5C%5Cx%5Cin+%5B-3%3B2%5D "3)\; \sqrt{7-3x} \geq x-1,\; \; OOF:\; 7-3x \geq 0,\; x \leq \frac{7}{3}\\\\7-3x \geq x^2-2x+1\\\\x^2+x-6 \leq 0,\; \; \; x_1 \leq 2,\; x_2=-3\; (teor.\, Vieta)\\\\x\in [-3;2]")
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